math 116

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-x/9=1/16
This is suppose to be solved using the multiplication principle. If possible please show me not just the answer but how you came up with it so I understand how to do these problems. Thank you

• math 116 -

multiply both sides by 144 (which is 9 x 16)

(144)(-x/9)=(144)(1/16)
16(-x) = 9(1)
-16x = 9
x = /9/16

you could just 'cross-multiply' to get the same result faster:
(-x)(16) = 1(9)
x = -9/16

In general find the lowest common denominator of your fractions, and multiply each term by that.
This will guarantee that all your denominators will cancel, and your fractions will disappear.

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